1038738672 has 60 divisors (see below), whose sum is σ = 2909192520. Its totient is φ = 345988224.

The previous prime is 1038738661. The next prime is 1038738691. The reversal of 1038738672 is 2768378301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369978 + ... + 372774.

It is an arithmetic number, because the mean of its divisors is an integer number (48486542).

Almost surely, 2^1038738672 is an apocalyptic number.

1038738672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1038738672 is an abundant number, since it is smaller than the sum of its proper divisors (1870453848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1038738672 is a wasteful number, since it uses less digits than its factorization.

1038738672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1038738672 is about 32229.4689996593. The cubic root of 1038738672 is about 1012.7496463514.

The spelling of 1038738672 in words is "one billion, thirty-eight million, seven hundred thirty-eight thousand, six hundred seventy-two".